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27 January, 09:49

The number of cows in a farm was 60% of the number of the goats. After 80 goats were taken out of the farm, the number of goats became 60% of the number of cows in the farm.

(a) how many cows were there in the farm?

(b) what is the percentage of the goats were moved out of the farm?

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  1. 27 January, 10:01
    0
    Before:

    The number of goats = 60%

    The number of cows = 100%

    Using ratio

    Cows : Goats

    60 : 100 reduced to simplest term

    C:G

    3:5

    After

    The number of cows = 100%

    The number of goats = 60%

    Using ratio

    C:G

    100:60 reduced to simplest term

    C:G

    5:3

    Number of cows remained constant. Therefore find the common multiple.

    Before

    C:G

    15:25

    After

    C:G

    15:9

    Find the difference in the units of goats

    (a) 25 - 19 = 16

    16 units = 80

    1 unit = 5

    15 units (cows) = 5 x 15 = 75

    There were 75 cows.

    (B)

    Number of goats at first

    25 units = 5 x 25 = 125

    Therefore percentage = 80/125 x 100

    = 64%
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